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arXiv · 1910.06787

Binomial Edge Ideals of Generalized block graphs

Arvind Kumar
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Abstract

We classify generalized block graphs whose binomial edge ideals admit a unique extremal Betti number. We prove that the Castelnuovo-Mumford regularity of binomial edge ideals of generalized block graphs is bounded below by $m(G)+1$, where $m(G)$ is the number of minimal cut sets of the graph $G$ and obtain an improved upper bound for the regularity in terms of the number of maximal cliques and pendant vertices of $G$.

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Arvind Kumar. 2019-10-15. Binomial Edge Ideals of Generalized block graphs. https://doi.org/10.1142/s0218196720500526

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